Intro to Algebra

What does the term 'constant' mean in algebra?

• A variable that can change value

• A fixed value that does not change, e.g., in 2x + 5, 5 is a constant.

• A mathematical operation that varies

• A type of equation that has no solution

What does the term 'coefficient' refer to?

• A number that multiplies a variable, e.g., in 4x, 4 is the coefficient.

• A constant value that does not change in an equation.

• A term that represents the degree of a polynomial.

• A variable that can take on different values.

Evaluate the expression for x=7, y=15, z=8: 13y - \frac{xz}{4}

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Evaluate the expression for x=7, y=15, z=8: 9y ÷ (2x + 1)

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What is the distributive property? Give an example.

• a(b + c) = ab + ac; e.g., 2(3 + 4) = 2*3 + 2*4 = 14

• a(b + c) = ab - ac; e.g., 2(3 + 4) = 2*3 - 2*4 = -2

• a(b + c) = ab + ac; e.g., 2(3 + 4) = 2*3 + 2*4 = 7

• a(b + c) = ab + ac; e.g., 2(3 + 4) = 2*3 + 2*4 = 10

What does the term 'variable' mean in algebra?

• A symbol (like x or y) that represents an unknown value.

• A fixed number that does not change.

• An equation that shows a relationship between two quantities.

• A type of function that always returns the same output.

What is the difference between an expression and an equation?

• An expression has an equality sign, while an equation does not.

• An expression is a mathematical phrase, while an equation is a statement of equality.

• An expression can only contain numbers, while an equation can contain variables.

• An expression does not have an equality sign, while an equation does.

What is the result of the expression 5(2 + 3) - 4?

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What is the value of x in the equation 2x + 3 = 11?

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If a = 5 and b = 6, what is the value of ab - b?

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